MATH 225/Differential Equatiions Homepage

Spring 2010

Review advice for the final exam: (I'll let you know if I update this as the week goes on...)

I) Study the previous two exams. I won't dig up any old concepts that didn't show up in some form on these tests. A good final exam would find a way to make connections between all these ideas. One thing you should do in particular is to organize the various techniques we have for solving the various kinds of ode's that come up: First order/second order, constant coefficient/variable coefficients, homogeneous/forced, continuous/discontinuous forcing terms. Often more than one technique applies, but one is much more efficient than another.

II) Since the last test we have covered sections 5.5, 5.6, 5.7. Review these exercises,and I will try to pass along a few more later this week.

III) Be very comfortable with the four "Warm-up" problems from the last project. You should also practice on some problems from Section 5.8: 3, 5, 9, 11, 14, 15, 17

Office hourse this week: Wednesday, Thursday and Friday from 1:00 to 3:00. I will also be around in the morning on Wednesday and perhaps late morning on Thursday (starting around 11:00.)

 


Course Policies/Grading

Schedule of Exams/reading

DFIELD (good for drawing slope fields and exploring orbits for various initial conditions)

(DFIELD TUTORIAL)

DESolver (good for graphing particular solutions and seeing data for Euler's method)

Office Hours: MWF from 1:30-2:30; Tues 2--3:15. I am also around most Tuesday and Thursday late mornings and other unpredictable times in the afternoons. My door is usually open and you are welcome to stop by or make an appointment.


Regular Assignments:

Due Feb 12: section 1.1: #7, 9, 11, 13, 19, 20, 22, 25; section 1.2: #3, 11, 12, 14, 16

Due Feb 17: back to sectioin 1.1: Look at the tutorial and then use the DFIELD applet to do problems 26, 30 and 31 (For #30, set the window to go from t=0 to t=30, and try to find an initial value for y(0) that gives you the most possible oscillations.) Section 1.2: 6, 7, 10; Section 1.3: #1 3 (all parts now!!), 7, 8, 9. 18 ; Section 1.4: 1--6, 9, 11, 13, 14, 17, 19, 21.

Due Feb 22: Section 2.1: 8, 10, 16, 22, 30, 35; Section 2.2: 3, 6, 10, 12, 16, 24, 26; Section 2.3: 3, 4, 8, 9, 16, 18ab (this is a cool problem when you get it right--you'll need to be able to plot two curves for (b)--you can use a graphing calculator, Maple, Mathematica, or ask a friend-- good luck!)

Due March 1: Section 2.4: 3, 4, 6, 7, 9, 21, 22, 24, 25 (these effectively show the solutions to a homogeneous linear equations form a vector space), 32, Section 2.5: 3, 4, 7, 12, 17 (just estimate everything with your favorite ODE solving tool), 19, 20, 21, 23

Due March 5: Section 3.1: 3, 4, 5, 7, 19, 20, 21, 22, 24, 25, 36

Due March 10: Section 3.2: 4, 6, 8, 9, 12, 13, 14, 17, 18, 20, 24; Section 3.3: 2, 3, 5, 9, 11, 12, 13, 14, 17, 18, 23, 26

Due March 15: Section 3.4: 2, 3, 4, 7, 8, 11, 13, 15, 16; Section 3.5: 2, 4, 10, 11, 13, 15 (I hope to work on these last two in class a bit on Friday)

EXAM #1: Tuesday, March 16, 7:00pm in Warner 208.

Due March 31: Chapter 3 Project--Just one paper per group!!

Due April 5: Section 4.1: 2, 3, 7, 14, 18, 21, 22, 23; Section 4.2: 3, 5, 9, 11, 14c, 15, 17, 23, 24; Section 4.3: 2, 9, (can probably do these without a computer) 21, 24, 25, 32, 34, 37, 42

Due April 9: Section 4.4: 10, 12, 13, 14, 17, 23, 24, 25, 34, 35, 39; Section 4.5: 2, 7, 9, 13, 17, 19, 21.

Due April 14: Section 4.6: 1, 4, 7, 12, 13, 19a, 20a, 21a, (don't worry about part (b) for 19, 20 21), 27 ; Section 4.7: 5, 6, 17, 18

Due April 19: Section 5.1: 1, 2, 7, 9, 13a, 14, 15, 18 (use linearity), 25 (practice using parts, and then check it with the shortcuts you know). Section 5.2: 3, 5, 9, 11, 13, 14, 17, 24, 26, 29

Due April 21: Section 5.3: 4, 6, 9, 10, 12, 13, 15, 16, 20; Section 5.4: 2, 3, 10, 13

EXAM #2: Thursday, April 22, 7:00pm Warner 208

Due April 30: Section 5.5: 4, 5, 7, 11, 12, 13, 17, 18, 19, 23, 25; Section 5.6: 1, 6

Due May 5: Section 5.6: 6, 9, 19a, 20a, 21ab. Section 5.7: 1, 2, 8, 13a, 15

Due May 10: Project #2. One paper per group--nicely organized.

 

Final Exam: Friday, May 14, 7:00pm